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I just cited myself.
(mander.xyz)
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this post was submitted on 27 Jun 2024
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honestly that seems to be the only argument from the people who say it's not equal. at least you're honest about it.
by the way I'm not a mathematically adept person. I'm interested in math but i only understand the simpler things. which is fine. but i don't go around arguing with people about advanced mathematics because I personally don't get it.
the only reason I'm very confident about this issue is that you can see it's equal with middle- or high-school level math, and that's somehow still too much for people who are too confident about there being a magical, infinitely small number between 0.999... and 1.
to be clear I'm not arguing against you or disagreeing the fraction thing demonstrates what you're saying. It just really bothers me when I think about it like my brain will not accept it even though it's right in front of me it's almost like a physical sensation. I think that's what cognitive dissonance is. Fortunately in the real world this has literally never come up so I don't have to engage with it.
no, i know and understand what you mean. as i said in my original comment; it's not intuitive. but if everything in life were intuitive there wouldn't be mind blowing discoveries and revelations... and what kind of sad life is that?